Whether it's legal for your landlord to deny you hot water in the kitchen and ask you to do dishes in the bathroom can depend on various factors, including local housing laws and regulations. In many places, landlords are legally required to provide certain amenities and maintain specific living conditions for their tenants.
Laws regarding landlord-tenant relationships vary widely from country to country and even from state to state or province to province. Some jurisdictions may require landlords to provide hot water in the kitchen as a basic necessity, while others might not specify this requirement explicitly.
To determine if your landlord's actions are legal or not, you should consult local housing laws, tenant rights organizations, or seek advice from a legal professional who is familiar with rental laws in your area. They can provide you with accurate information about your rights as a tenant and advise you on the appropriate steps to take if your landlord is not meeting their legal obligations.
Remember, maintaining a habitable living space is usually a responsibility of the landlord, and denying access to basic utilities like hot water in the kitchen may be considered a breach of those obligations in some jurisdictions.